Thread: Integral problem

The velocity v at time t of an object travelling in a straight line is given by v = t - 3. Determine the distance it travels from t = 0 and t = 4.

Originally Posted by wren17

The velocity v at time t of an object travelling in a straight line is given by v = t - 3. Determine the distance it travels from t = 0 and t = 4.

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Assume x(0) = 0: .

Note: The answer is NOT x(4) - x(0). Why?

Distance travelled =

Draw a graph of x versus t to see this.